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Ad libitum [116K]
3 years ago
13

Write the equation in slope intercept form (solved for y), when possible. Through (4,-3)

Mathematics
1 answer:
Kay [80]3 years ago
4 0
Answer: y=-3/4x

Step by step explanation:

y-y_0=m(x-x_0)

y+3=-3/4(x-4)

y=-3/4x+3-3

y=-3/4x

m=rise/run

m=-3/4
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3 years ago
Two angles are complementary. One angle is ten less than four times the other angle. Find the measure of the larger angle
Nimfa-mama [501]

Answer:

B.70

Step-by-step explanation:

For one or two angles are complementary angle(s), they have to equal 90°.

So, we need to find the larger angle, but what about the other?

Let x be the other angle and y be the angle we are looking for

x + y = 90

Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:

y = 4x - 10

For an exchange, lets take out the y variable for another x variable:

So now we should have x + 4x - 10 = 90

Combine like terms and do cross equation :

x + 4x -10 = 90

5x - 10 = 90

Add 10 to both sides:

5x = 100

100/5 = 20

So <u><em>x=20</em></u>

<u><em></em></u>

Now for y which is what we are looking for,

y = 4x - 10

Since x is 20, plug it in

y = 80 - 10

y=70 is our larger angle

5 0
3 years ago
Can anybody help me, please
kvv77 [185]

Answer:

The end of the stencil is located at (8, -1)

Step-by-step explanation:

The given parameters are;

Location of the beginning of the left edge of the stencil = (-1, 2)

Location of the detail = (2, 1)

Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2

Distance from beginning to detail = √((-1 - 2)² +  (2 - 1)²) = √10

Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;

√10:Length of stencil side = 1:2

Distance from detail to stencil end = 2×√10

Which gives;

Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°

x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8  

y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1  

The coordinates of the end of the stencil = (8, -1)

6 0
3 years ago
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